The ornamental design for the pet carrying bag, as shown and described.
FIG. 1 is a front elevational view of a pet carrying bag showing my new design;
FIG. 2 is rear elevational view thereof;
FIG. 3 is a front right perspective view thereof where the small tabs are in an alternate configuration.
FIG. 4 if a rear left perspective view thereof;
FIG. 5 is a left side elevational view thereof;
FIG. 6 is a right side elevational view thereof;
FIG. 7 is a top plan view thereof; and,
FIG. 8 is a bottom plan view thereof.
The broken line showing of carrying strap is for the purpose of illustrating possible use of the small tabs and forms no part of the claimed design.
The broken line showing of feet on the bottom is for the purpose of illustrating possible bottom configuration and forms no part of the claimed design.